Victor Pavlushkov

Detecting and Correcting Capabilities of Convolutional Codes

A convolutional code can be used to detect or correct infinite sequences of errors or to correct infinite sequences of erasures. First, erasure correction is shown to be related to error detection, as well as error detection to error correction. Next, the active burst distance is exploited, and various bounds on erasure correction, error detection, and error correction are obtained for convolutional codes. These bounds are illustrated by examples.

Unequal error protection explained by state-transition graphs

In this paper unequal error-correcting capabilities of convolutional codes are studied. State-transition graphs are used for investigating the error-correcting capabilities for specific inputs or outputs of given convolutional encoding matrices. Active burst input- and output-distances are defined and shown to be generalizations of the active burst distance. These new distances provide better estimates of the error-correction capability, especially when we communicate close to or above the channel capacity and they are connected to the corresponding free input- and output-distances via lower bounds

A new look at the error-correcting capabilities of convolutional codes

This paper describes the error-correcting capability of a convolutional code when transmitting close to capacity. We show that it is the combination of average burst length and first event error probability that allows us to better describe the error-correcting capability of a code.

On unequal error protection for information symbols via active distances

This paper describes the active burst distance for convolutional codes. The unequal error protection for information sequences are used to formulate a theorem on the error-correcting capability of the generator matrix and set state paths in the encoder state-transition diagram correspond to code sequences. Therefore the active-distance concepts are used to characterize the error patterns.

On the burst error detecting and erasure correcting capabilities of convolutional codes

In this paper it is shown how a convolutional code can be used either to detect errors or to correct erasures. The erasure correction is related to the error detection. Using the active burst distance lower bounds on the error and erasure correction as well as error detection are obtained for convolutional codes.